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High Energy Physics - Theory, hep-th
Abstract:
This essay proves the cyclic invariance of anti-NMHV and N$^2$MHV tree
amplitudes in N=4 SYM up to any number of external particles as an interesting
exercise. In the proof the two-fold simplex-like structures introduced in
1609.08627 (and reviewed in 1712.10000) play a key role, as the cyclicity of
amplitudes also induces similar simplex-like structures for the boundary
generators of homological identities. For this purpose, we only need a part of
all distinct boundary generators, and the relevant identities only involve
BCFW-like cells.
